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If e^x=(sqrt(1+t)-sqrt(1-t))/(sqrt(1+t)+...

If `e^x=(sqrt(1+t)-sqrt(1-t))/(sqrt(1+t)+sqrt(1-t))` and `tan (y/2)=sqrt((1-t)/(1+t))` then `(dy)/dx`at `t=1/2` is

A

`-1/2`

B

`1/2`

C

0

D

2

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-DIFFRENTATION-ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN))(Straight Objective Typee Questions)
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  2. If y= tan^(-1)sqrt((1-x)/(1+x)) then dy/dx at

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